simplify
5p^5q^4 /12n^4 / 15p^2 q/ 3mn^2
There is just so much here I have no idea where to start
would it be 3p^3q^4 / 4mn^2
5p^5q^4 /12n^4 / 15p^2 q/ 3mn^2
try writing as
5p^5q^4 /12n^4
-----------------
15p^2 q/ 3mn^2
which is
5p^5q^4 /12n^4 * 3mn^2/15p^2 q
5 p^5 q^4 3 m n^2
------------------
12 n^4 15 p^2 q
(5*3)/(12*15) = 1/12
p^5/p^2 = p^3
q^4/q^1 = q^3
m = m
n^2/n^4 = n^-2
To simplify the expression, we can use several rules of exponents and fractions. Let's break down the expression step by step:
Step 1: Combine the fractions by multiplying the numerators and denominators together.
(5p^5q^4 / 12n^4) * (15p^2q / 3mn^2)
Step 2: Combine like terms by multiplying the coefficients and adding the exponents that have the same base.
(5 * 15 * p^5 * p^2 * q^4 * q) / (12 * 3 * m * n^4 * n^2)
Step 3: Perform the calculations.
(75p^7q^5) / (36mn^6)
Therefore, the simplified expression is 75p^7q^5 / 36mn^6.